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Finding the Fourth Proportional to 1,071.82, 1,478.28 and 905.77

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Solution

The fourth proportional to 1,071.82, 1,478.28 and 905.77 is: 1,249.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.82 : 1,478.28 = 905.77 : x
  2. Step 2: Convert to fraction form
    1,071.82/1,478.28 = 905.77/x
  3. Step 3: Cross multiply
    1,071.82x = 1,478.28 × 905.77
  4. Step 4: Simplify right side
    1,071.82x = 1,338,981.68
  5. Step 5: Solve for x
    x = 1,338,981.68/1,071.82
  6. Step 6: Final answer
    x = 1,249.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.